Q: What are the factor combinations of the number 24,842,621?

 A:
Positive:   1 x 24842621137 x 181333149 x 1667291217 x 20413
Negative: -1 x -24842621-137 x -181333-149 x -166729-1217 x -20413


How do I find the factor combinations of the number 24,842,621?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 24,842,621, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 24,842,621
-1 -24,842,621

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 24,842,621.

Example:
1 x 24,842,621 = 24,842,621
and
-1 x -24,842,621 = 24,842,621
Notice both answers equal 24,842,621

With that explanation out of the way, let's continue. Next, we take the number 24,842,621 and divide it by 2:

24,842,621 ÷ 2 = 12,421,310.5

If the quotient is a whole number, then 2 and 12,421,310.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,842,621
-1 -24,842,621

Now, we try dividing 24,842,621 by 3:

24,842,621 ÷ 3 = 8,280,873.6667

If the quotient is a whole number, then 3 and 8,280,873.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,842,621
-1 -24,842,621

Let's try dividing by 4:

24,842,621 ÷ 4 = 6,210,655.25

If the quotient is a whole number, then 4 and 6,210,655.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 24,842,621
-1 24,842,621
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11371491,21720,413166,729181,33324,842,621
-1-137-149-1,217-20,413-166,729-181,333-24,842,621

More Examples

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